Exact controllability to trajectories for entropy solutions to scalar conservation laws in several space dimensions

Carlotta Donadello (1) , Vincent Perrollaz (2)

1 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)
2 IDP - Institut Denis Poisson

We describe a new method which allows us to obtain a result of exact controllability to trajectories of multidimensional conservation laws in the context of entropy solutions and under a mere non-degeneracy assumption on the flux and a natural geometric condition.

Domaines: Equations aux dérivées partielles [math.AP]; Optimisation et contrôle [math.OC]

Carlotta Donadello, Vincent Perrollaz. Exact controllability to trajectories for entropy solutions to scalar conservation laws in several space dimensions. Comptes Rendus. Mathématique, 2019, ⟨10.1016/j.crma.2019.01.012⟩. ⟨hal-02067999⟩